(Q). If p = (x{!^{y{!^{z!}}}}) & p is a single digit number then find the possible value of p.Solution:- ➠ if x = 0 or 1 ⇒ x! = 1 then y & z can take any value & value of p will be = 1. ➠ if x = 2 ⇒ x! = 2if y = 0 or 1 ⇒ y! = 1 then z can take any value...
(Q). An expression is given below:N = 1! + 2! + 3! + 4! + 5! + ………. + 99! + 100!(i) Find the unit digit of N(ii) Find the last two digit of N(iii) What will be the remainder when N is divided by 7....
(Q). Find the number of trailing zeros in (1! + 2! + 3! + 4! +5!)(6! + 7! + 8! + 9! + 10!)…………(96! + 97! + 98! + 99! + 100!). Solution:- (1! + 2! + 3! + 4! + 5!) ➝ as factorial number goes on increasing in every term. Hence in every term number...
(Q). Consider a number x.(x + 1).(x + 2).(x + 3)………till x terms. If above number is completely divisible by all two digit prime numbers then what is the minimum value of x.Solution:- Since largest two digit prime number is = 97 & Since above number is completely...
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